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arXiv · 1106.5936

Singly-even self-dual codes with minimal shadow

Stefka Bouyuklieva·Wolfgang Willems
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Abstract

In this note we investigate extremal singly-even self-dual codes with minimal shadow. For particular parameters we prove non-existence of such codes. By a result of Rains \cite{Rains-asymptotic}, the length of extremal singly-even self-dual codes is bounded. We give explicit bounds in case the shadow is minimal.

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Stefka Bouyuklieva, Wolfgang Willems. 2012-01-23. Singly-even self-dual codes with minimal shadow. https://doi.org/10.1109/tit.2012.2183114

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